314542080 has 144 divisors (see below), whose sum is σ = 1090465740. Its totient is φ = 83853312.

The previous prime is 314542073. The next prime is 314542117. The reversal of 314542080 is 80245413.

314542080 is a `hidden beast` number, since 3 + 1 + 454 + 208 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 301925376 + 12616704 = 17376^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90454 + ... + 93866.

Almost surely, 2^314542080 is an apocalyptic number.

314542080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545232870).

314542080 is an abundant number, since it is smaller than the sum of its proper divisors (775923660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314542080 is a wasteful number, since it uses less digits than its factorization.

314542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 314542080 is about 17735.3342229573. The cubic root of 314542080 is about 680.0793448360.

Adding to 314542080 its reverse (80245413), we get a palindrome (394787493).

The spelling of 314542080 in words is "three hundred fourteen million, five hundred forty-two thousand, eighty".